Recent content by luinthoron

I am a high-school teacher and a PhD. student. I am looking for ways to introduce my students to GR. In my treatment, I speak about the equivalence principle and later about curvature in general and consequently that of spacetime. I am missing a connection of these two parts that would be...

I see. Since my goal is to practice the method on a simple situation first, I would go with linear air resistance first, regardless of the physical reality. I should also add that I am working with simple numerical solutions, first-order or second-order numerical methods. I could go further in...

Fair point, but if I add air-resistance?

Uniform gravity plus air-resistance confined to the plane of rotation, for start. But ultimately, I would like to be able to solve the rigid body motion under any kind of given forces.

I would like to patch some gaps in my physics background. For example, I've been trying to come up with the sollution to the following: I have a model rigid body made up of two mass points and a massless rod connecting them. I throw the body with initial velocity under some angle of elevation...

I have recently come across the notion that Kerr metric describes the spacetime outside a rotating black hole but not outside a rotating (electrically neutral) star. Unlike Schwarzschild metric, which works both for non-rotating spherically symetric black hole without charge as well as any other...

Thank you for your posts. The thing is, I am trying to introduce the idea of curvature to high school students and I don't want to drown them in mathematics. The remark about Gauss and the actual mesuaring from jedishrfu seems to be in that direction. I'll dig more into it.

Hello, I've been struggling with the so often spoken idea that a metric tensor gives you all necessary information about the geometry of a given space. I accept that from the mathematical point of view as every important calculation (speaking as a physicist with respect to GTR rather than...

Although I find the discussion in the posted thread interesting, I fail to see the immediate connection with my question. I don't find answers including tensors very helpful at this point. I understand the mathematics and basic principles but the larger physical pictures eludes me.

Hello, I was unable to find a similar thread, so I would like to ask about this myself. I have several textbooks on SR and GR at my disposal but none of them gave me the answer to my question. I remeber from undergraduate course that SR brakes down if we want to include gravitation. I feel...

Thank you for the advice. I ended up with: \begin{equation} \tilde{E}_0^2=4\tilde{L}^2u_0^3-\tilde{L}^2u_0^2+1 \end{equation} \begin{equation} 3u_0^2-u_0=-\frac{1}{\tilde{L}^2} \end{equation} The second one is a quadratic equation, so I can write the solution \begin{equation}...

Hello, I am trying to work out this exercise for my personal research connected with my bachelor thesis. The task is to compare equations (25.42) and (25.47) and express $u_0$ in terms of \tilde{L}. I have so far put the two equations together getting \begin{equation}...

Homework Statement Hello, I would like to derive geodesics equations from hamiltonian H=\frac{1}{2}g^{\mu\nu}p_{\mu}p_{\nu} using hamiltonian equations. A similar case are lagrangian equations. With the definition L=g_{\mu\nu}\dot{x}^\mu\dot{x}^\nu I tried to solve the...